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Intergrate the following: intsin((3x)/...

Intergrate the following:
`intsin((3x)/4)cos(x/2)dx`

Text Solution

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`intsin((3x)/4)cos(x/2)dx`
=1/2 int2sin((3x)/4).cos(x/2)dx`
=`1/2 int{sin((5x)/4)+sin(x/4)}dx`
=`1/2. 4/5(-cos((5x)/4))-1/2. 4cos(x/4)+C`
=`-2/5cos((5x)/4)-2cos(x/4)+C`
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